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3

For information, in nicematrix, you can easily write a command \lightmatrix to compose matrices with the syntax of spalign (thanks to the key light-syntax inspired by spalign) with the ability to use all the features of nicematrix, included exterior rows and columns (inspired by \bordermatrix and kbordermatrix). \documentclass{article} \usepackage{nicematrix}...

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The parentheses are hard-coded in \bordermatrix. You could define a version with brackets explicitly as shown in \bordermatrix with brackets [ ] instead of parentheses ( ). Alternatively, let us be lazy, copy the definition of \bordermatrix, and let xpatch replace the parentheses by brackets. \documentclass[a4paper,12pt]{article} \usepackage{spalign} \...

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The control symbols $$and$$ respectively enter and exit inline math mode, and you are using them correctly in the argument of your \textit. On the other hand, \left and \right expect delimiters after them: the only situation where you need to "escape" a delimiter with a backslash is with braces, so you'll need \left\{ and \right\}, because the ...

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